Answer :

kleexx
The solution is C. -2.


Explanation:

Setting f(x) = g(x):
x^2 - 2x + 3 = |x+2| - 1
Simplifying the absolute value:
x^2 - 2x + 4 = |x+2|
Considering the cases:
Case 1: x+2 ≥ 0
x^2 - 2x + 4 = x + 2
x^2 - 3x + 2 = 0
(x-2)(x-1) = 0
x = 2 or x = 1
Case 2: x+2

Therefore, the solution to the equation f(x) = g(x) is x = -2.